Ask questions and get helpful answers.

A farmer with 10000 meters of fencing wants to enclose a rectangular field and divide it into two plots with a fence parallel to the sides. What is the largest area that can be enclosed?

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
3 answers
  1. He has 10 km of fence to fence in a field on a farm ??
    Anyway ...

    Let each of the lengths be y
    let each of the shorter sides by x
    so we need 2y + 3x
    2y + 3x = 10000 ---> y = (10000-3x)/2

    area = xy
    = x(10000-3x)/2
    = 5000x - (3/2)x^2
    d(area)/dx = 5000-3x
    = 0 for a max of area
    3x = 5000
    x = 5000/3 m or 1666 2/3 m
    sub that into area
    then area = 4,166,666.667 m^2

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  2. lika sum bodee

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
  3. Will you do this same problem but the farmer has 400m of fencing.

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩

Answer this Question

Similar Questions

  1. Math

    One hundred meters of fencing is available to enclose a rectangular area next to river give a function A that can represent the area that can be enclosed, in terms of X?

  2. Calculus

    a college is planning to construct a new parking lot. the parking lot must be rectangular and enclose 6000 square meters of land. A fence will surround the parking lot, and another fence parallel to one of the sides will divide the parking lot into two

  3. Math

    A farmer has 80 feet of fencing, which she plans to use to fence in a plot of land for a pigpen. If she chooses to enclose a plot along the broad side of her barn, what is the largest area that can be enclosed? (Note: The side along the barn will not

  4. Calculus 1

    If you have 280 meters of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?

  5. Calc

    A rectangular page is to contain 30 sqaure inches of print. The margins on each side are 1 inch. Find the dimensions of the page sucha that the least amount of paper is used. A farmer plans to fence a rectangular pasture adjacent to a river. The pasture

  6. Calculus

    OPTIMIZATION PROBLEM: "A rectangular field is to be enclosed on four sides with a fence. Fencing costs $7 per foot for two opposite sides, and $5 per foot for the other two sides. Find the dimensions of the field of area 620ft^2 that would be the cheapest

  7. MATH

    Find the largest possible rectangular area you can enclose assuming you have 128 meters of fencing.

  8. Calc.

    Please help solve this, A farmer has 600m of fence and wants to enclose a rectangular field beside a river. Determine the dimensions of the fence field in which the maximum area is enclosed. (Fencing s required on only three sides: those that aren't next

  9. math

    A rectangular field is to be enclosed on four sides with a fence. Fencing costs $8 per foot for two opposite sides, and $2 per foot for the other sides. Find the dimensions of the field of area 900 ft2 that would be the cheapest to enclose.

  10. Calc 1

    A farmer with 700 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens?

Still need help?

You can ask a new question or browse existing questions.